… and characterizations of ⊕ss-supplemented modules are … ring R is semisimple if and only
if every left (right) R-module … , we give a characterization of artinian serial rings using ⊕ss-…

… details of supplemented modules and left perfect rings, we refer … In particular, we give a
characterization of left perfect rings. … Right ss-perfect rings are defined similarly. R is said to be ss-…

… strongly local modules and rings. We show that every left strongly local ring is left perfect and
right perfect. … In this section we obtain new characterizations of semiperfect rings via their ss-…

… Perfect and semiperfect rings were generalized to 𝛿-perfect … In Section 4, we study the
notion of 𝛿-semiperfect and 𝛿-perfect semirings. We also characterize subtractive 𝛿-semiperfect …

… A large number of rings have characterizations in terms of … short exact sequence of right (or
left) R-modules splits if and … called as supplemented modules and supplementing modules, …

… supplemented S-semimodules is ⨁-supplemented. In Section 3, we define completely ⨁-supplemented
semimodules… is correct for the property ⨁-supplemented since it is not true in …

… rings considered in this work are associative with identity and all modules are unitary right
R-modules. … characterizations of δ-small submodules of a module have been provided in [19]. …

… a ring S is denoted as left (right) δ-coatomic if the left (right) S-… details and characterizations
of δ-supplemented modules, … of a ring for which coδ-δ-supplemented modules are co-…

… characterizations of δ-small submodules of a module was investigated in [12]. The notion of
H-supplemented modules … non-supplemented injective module over a right hereditary ring is …

… rings considered in this work are associative with identity and all modules are unitary right
R-modules… and some useful characterizations of \(\delta \)-small submodules of a module have …